Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(3r+k,r) * binomial(r,n-r)/(3*r+k) for k > 0.
A378323
Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0^n and T(n,k) = k * Sum_{r=0..n} binomial(3r+k,r) * binomial(r,n-r)/(3*r+k) for k > 0.
Terms
- a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =0a(6) =1a(7) =2a(8) =4a(9) =0a(10) =1a(11) =3a(12) =9a(13) =18a(14) =0a(15) =1a(16) =4a(17) =15a(18) =44a(19) =94a(20) =0a(21) =1a(22) =5a(23) =22a(24) =79a(25) =240a(26) =529a(27) =0a(28) =1a(29) =6
External references
- oeis: A378323